Answer:
Area = 36.1 sq. units
Step-by-step explanation:
We will use the "included angle area" formula for a triangle to solve this problem.
The formula is:
[tex]A=\frac{1}{2}abSinC[/tex]
Where
a and b are the two sides given
C is the angle given BETWEEN the two sides
From the problem, we can write:
the two sides are 6 & 17, so that will be "a" and "b" of the formula
the included angle is 135, so that will be "C" of the formula
Substituting, we find the answer:
[tex]A=\frac{1}{2}abSinC\\A=\frac{1}{2}(6)(17)Sin(135)\\A=36.06[/tex]
Rounded to 1 decimal place,
Area = 36.1 sq. units
